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51.
52.
We show how to construct the group using any sequence of Hadamard matrices. This construction is nicely compatible with the
classical Haar and Rademacher functions. We then show that every
n-dimensional Euclidean lattice is isometrically
isomorphic to a n-slice of .
Finally we prove a similar embedding theorem for integral and p-rational lattices into the-module of all continuous
integer-valued functions on the group of p-adic integers.
Received 29 October 2001. 相似文献
53.
We calculate the branching ratio for the semihadronic decay τ→ηππν, a test fo the Wess-Zumino term for chiral anomalies. 相似文献
54.
Raymond H. Plaut 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1970,21(6):1004-1010
Zusammenfassung Eine obere Schranke wird angegeben für die Ausschläge eines elastischen Balkens unter allgemeiner dynamischer Belastung. Die Bemessung, für welche diese Schranke einen Kleinstwert annimmt, wird bestimmt und mit der Bemessung für kleinste statische Durchbiegung verglichen.
Supported in part by the U. S. Army Research Office-Durham and in part by the United States Navy under Grant No. NONR N00014-67-A-0191-0009. 相似文献
Supported in part by the U. S. Army Research Office-Durham and in part by the United States Navy under Grant No. NONR N00014-67-A-0191-0009. 相似文献
55.
The design of a cantilever column under a follower load is considered with the aim of maximizing the critical value of the load. The optimality condition is derived, and a modified Ritz method is used to determine an approximate solution for the bending stiffness. Results are obtained numerically for the case of a sandwich column with constant bending stiffness in each of two segments. It is found that, for the same structural weight, the optimal design yields a critical load significantly higher than that for a uniform column.This research was supported in part by the US Army Research Office–Durham and in part by the United States Navy under Grant No. NONR N00014-67-A-0191-0009. 相似文献
56.
The deformation and vibration of vertical flexible loops are investigated theoretically and experimentally. Both upright and hanging loops are considered. Potential applications include nanorings and carbon nanotubes as force sensors or structural components. The upright tubes rest on a rigid or linearly elastic (Winkler) foundation, and cases with adhesion and nonlocal elasticity are included in the analysis. The hanging loops are suspended by a clamp with zero or finite length. The effects of self-weight, foundation stiffness, work of adhesion, and nonlocal elasticity on the loop height or depth are determined, as well as the effects of self-weight and foundation stiffness on the lowest frequency for in-plane symmetric vibration. Good agreement is attained between theoretical results (based on an inextensible-elastica model) and experimental data. 相似文献
57.
Conrad Plaut 《Topology and its Applications》2009,156(3):594-600
We prove that an equivalent condition for a uniform space to be coverable is that the images of the natural projections in the fundamental inverse system are uniformly open in a certain sense. As corollaries we (1) obtain a concrete way to find covering entourage, (2) correct an error in [V. Berestovskii, C. Plaut, Uniform universal covers of uniform spaces, Topology Appl. 154 (2007) 1748-1777], and (3) show that coverability is equivalent to chain connectedness and uniform joinability in the sense of [N. Brodskiy, J. Dydak, B. Labuz, A. Mitra, Rips complexes and universal covers in the uniform category, preprint arXiv:0706.3937. 相似文献
58.
59.
60.
Let pn be the nth prime. Then this paper is concerned with provingthe following result on the distribution of consecutive primes. The exponent of x in this theorem improves on the work of Heath-Brownwho proved (1) with exponent . Under the Riemann hypothesisone can prove (1) with exponent .The proof of the theorem startswith the Heath-BrownLinnik identity which leads to aformula giving the number of primes in an interval in termsof coefficients of certain Dirichlet series. I then estimatethe coefficients by using, among other things, the informationwhich can be gained from Montgomery's mean value theorem andHuxley's version of the Hal' asz lemma. Furthermore, by usingfamiliar sieve arguments I am able to discard some of the coefficientsallowing us to gain an improvement over the previous resultof Heath-Brown. 1991 Mathematics Subject Classification: 11N05. 相似文献